Hey there! I'm happy to help!
Let's have the capacity be c. The tank is currently at 4/5c. We subtract 190 and then we are at 1/6c. Let's set this up as an equation and solve it.
4/5c-190=1/6c
We want to get the c all by itself to see the capacity of the tank. Let's get all of the c values on the left side of the equation and the numbers on the right by using inverse operations.
4/5c-190=1/6c
Add 190 to both sides.
4/5c=1/6+190
Subtract 1/6 from both sides.
19/30c=190
Divide both sides by 19/30.
c=300
So, the capacity of the tank is 300 liters of water.
Have a wonderful day and keep on learning! :D
Answer:

Step-by-step explanation:
You can use these Cramer's formulas to solve for x and y:

where

So,

First find midpoint:
Find slope of line that passes through R and S: slope =
Negative reciprocal of slope to get slope of perpendicular: new slope = 6
Line will be:
Multiplicative inverse makes the numver 1 so it multiplies by 1 which cancles the number
examle
1/3x=10
to make 1/3 into 1
we multiplyu it by its mutlipcative invers which is 3/1
1/3 times 3/1=3/3=1
1/3x times 3/1=3/1 times 10
1x=30
additive inverse makes the number 0 to cancel it out
so example
x+3=10
add the inverse of 3 to make it 0
inverse of 3 is -3
3+-3=0
so x+3-3=10-3
x+0=7
x=7
Answer:
See explanation
Step-by-step explanation:
<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.
<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.
<u>Definition of the same side interior angles:</u> These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).
<u>The same-side interior angles theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary
Statement Reason
1. ABCD is a parallelogram - Given
2.
- Definition of parallelogram
3.
is a diagonal of
and
- Definition of diagonal
4.
and
are the same side interior angles - Definition of same-side interior angles
5.
is supplementary to
- Same-Side Interior Angles Theorem